The police who investigated Casey Anthony for murder -- and still believe she is guilty -- said today that they are assessing the threat to her safety and may provide police protection for Anthony when she leaves jail this weekend.

Orange County Sheriff Jerry Demings acknowledged the anger over the verdict that found Anthony not guilty of killing her 2-year-old daughter Caylee. The fury has been directed at Anthony, her parents, the judge and the jury.

"Our intelligence section is assessing the threats," said Sgt. John Allen, who helped interrogate Anthony at Universal Studios after she admitted she had lied about working there.

"A lot of people have strong sentiments about the outcome, but no one has the right to take the law into their own hands.... I would hope people step back and, regardless of their feelings, not commit another crime," Allen said at a news conference with other members of the team that investigated Anthony.

If there is an "overriding public safety need," they will escort her to her destination, the sheriff said. He added, however, "We will not be providing any elaborate protection for Casey once she leaves."

The jury's not guilty verdict has not changed the opinion of the cops who grilled Anthony and investigated Caylee's death.

When asked whether he still believed that Anthony was guilty, Allen replied, "I certainly don't have any doubt."

Demings said that an investigation involving the case remains open and involves a witness tampering allegation. He would not elaborate.

The Orange County prosecutor's office announced that it would not charge Casey Anthony's mother Cindy Anthony with perjury after she claimed responsibility for the many searches for chloroform on the family computer. Prosecutors proved that Cindy Anthony was at work at the time the searches were made. They also claimed that Casey Anthony killed Caylee with a combination of chloroform and duct tape.

Casey Anthony Jurors Were Suspicious of Her Father

The foreman of the Casey Anthony jury said that one reason that they acquitted Anthony was because they were suspicious that her father, George Anthony, could have been covering up a crime or even potentially could be a killer himself.

"There was a suspicion of him," the juror said. "That was a part of our conversation that we had."

At today's press conference, the detectives said that George Anthony was never a suspect in the case.

As with other jurors who have been interviewed, the foreman said the panel was unconvinced by the evidence that Casey Anthony, 25, murdered her 2-year-old daughter, Caylee -- and was not even certain that a murder was committed.

"We don't know the cause of death," the juror said. "Everything was speculation."

Jurors Struggle with their Decision

By the time Caylee's body was found six months after she disappeared, it was so badly decomposed that the cause of death was listed as homicide by undetermined means.

Casey Anthony was found not guilty of murder, but guilty of lying to police four times.

Last week, juror No. 3, Jennifer Ford, told ABC News exclusively that she believed prosecutors could have won a guilty verdict if they had brought a lesser charge than first-degree murder, which carried the possibility of the death penalty.

Ford said jurors were crying and "sick to their stomachs" over the verdict, which has prompted angry demonstrations and fear that the safety of Casey Anthony and others involved in the trial might be in jeopardy.

On Thursday, the Orange County, Fla., judge in the case refused to release the names of the jurors who acquitted the Florida mom of killing her daughter for fear that people upset with the verdict might harm them.

Despite the emotional public reaction, jurors have described taking a detailed, analytical look at the evidence and finding it lacking despite whatever personal reactions they may have had about the Anthony's guilt or innocence.

For instance, the foreman told van Susteren that jurors found key prosecution evidence involving duct tape and chloroform to be ambiguous, that they thought it plausible that Caylee could have drowned accidentally, as the defense suggested, and didn't think it was proven that Caylee's decomposing body was in the trunk of the Anthony family car or, if it was, who put it there.

Though jurors were suspicious of George Anthony, he added, they did not put much stock in defense claims he may have been a molester.

"There was no evidence to back that, so I really couldn't take that into consideration," the juror said. "That was not a discussion of ours when we got into the deliberations, as far as the sexual abuse."

"What was," he added, "was George Anthony's actions and his demeanor and the way that he presented some things up there on the stand.

"I really thought that George had very selective memory in the whole regard," he said. "I thought that George, at times, could remember some things as vividly as if things happened the day before."

At other times, he said, George Anthony's memory seemed to grow fuzzy. He cited Anthony's difficulty remembering details on how tape ended up on a gas can, discrepancies in testimony between him and his alleged mistress, and his behavior at a tow yard, where he may have feared there could be a body in a car trunk but simply drove the car home.

"It raised questions," he said. "It really did."

Asked if jurors thought it was possible George Anthony helped cover up a death, was involved in an accidental death or was "a murderer," the juror said, "All three. We don't know. ... The suspicions were raised" in the jury room.

In compliance with Florida state regulations, the juror notes will be collected and destroyed, court spokeswoman Karen Connolly Levey told ABC News.